6x^2-60x+216=0

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Solution for 6x^2-60x+216=0 equation:


Simplifying
6x2 + -60x + 216 = 0

Reorder the terms:
216 + -60x + 6x2 = 0

Solving
216 + -60x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(36 + -10x + x2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(36 + -10x + x2)' equal to zero and attempt to solve: Simplifying 36 + -10x + x2 = 0 Solving 36 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -10x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10x + x2 = 0 + -36 -10x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -10x + x2 = -36 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -36 + 25 Reorder the terms: 25 + -10x + x2 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + -10x + x2 = -11 Factor a perfect square on the left side: (x + -5)(x + -5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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